The Effective Field Theorist's Approach to Gravitational Dynamics

Abstract

We review the effective field theory (EFT) approach to gravitational dynamics. We focus on extended objects in long-wavelength backgrounds and gravitational wave emission from spinning binary systems. We conclude with an introduction to EFT methods for the study of cosmological large scale structures.

150+ pages and lots of figures. Invited topical review for Physics Reports. v2: Typos fixed and references added. Published version

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• The Effective Field Theory of Large Scale Structures at Two Loops
• Hamiltonian of a spinning test-particle in curved spacetime
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• Effective action approach to higher-order relativistic tidal interactions in binary systems and their effective one body description
• Galaxy Bias and non-Linear Structure Formation in General Relativity
• On the Renormalization of the Effective Field Theory of Large Scale Structures
• Non-Local Modification of Gravity and the Cosmological Constant Problem
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• High-Order Post-Newtonian Fit of the Gravitational Self-Force for Circular Orbits in the Schwarzschild Geometry
• The Hyperfine Einstein-Infeld-Hoffmann Potential
• A Lagrangian effective field theory
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• Gravitational-wave tails of tails
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• The Bispectrum in the Effective Field Theory of Large Scale Structure
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• Gravitational field and equations of motion of spinning compact binaries to 2.5 post-Newtonian order
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• Effective field theory calculation of conservative binary dynamics at third post-Newtonian order
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• Effective field theory calculation of second post-Newtonian binary dynamics
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• How well is our universe described by an FLRW model?
• The quantum mechanics of perfect fluids
• Dissipative effects in the Effective Field Theory of Inflation
• A Consistent Effective Theory of Long-Wavelength Cosmological Perturbations
• Next-to-leading order gravitational spin1-spin2 coupling with Kaluza-Klein reduction
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• Effective Field Theory and Matching in Non-Relativistic Gauge Theories
• Precision Comparison of the Power Spectrum in the EFTofLSS with Simulations
• On the Velocity in the Effective Field Theory of Large Scale Structures
• Dimensional regularization of local singularities in the 4th post-Newtonian two-point-mass Hamiltonian
• Equivalence of ADM Hamiltonian and Effective Field Theory approaches at next-to-next-to-leading order spin1-spin2 coupling of binary inspirals
• Reconstruction within the Zeldovich approximation
• Tidal deformation of a slowly rotating black hole
• The Overlap of Numerical Relativity, Perturbation Theory and Post-Newtonian Theory in the Binary Black Hole Problem
• Effective Field Theories
• High-order post-Newtonian contributions to the two-body gravitational interaction potential from analytical gravitational self-force calculations
• Multipole expansion at the level of the action
• Static Spherically Symmetric Kerr-Schild Metrics and Implications for the Classical Double Copy
• Deconstructing holographic liquids
• Classical Effective Field Theory and Caged Black Holes
• Possible observational windows for quantum effects from black holes
• Post-Newtonian Expansion of Gravitational Waves from a Particle in Circular Orbits around a Rotating Black Hole :Effects of Black Hole Absorption
• On the EFT of Large Scale Structures in Redshift Space
• The Effective Field Theory of Dark Matter and Structure Formation: Semi-Analytical Results
• Gravitational radiation reaction and balance equations to post-Newtonian order
• On the gravitational polarizability of black holes
• Tail terms in gravitational radiation reaction via effective field theory
• Nonviolent information transfer from black holes: a field theory parameterization
• TASI Lectures on Effective Field Theories
• Analytical high-order post-Newtonian expansions for extreme mass ratio binaries
• Les Houches Lectures on Effective Field Theories and Gravitational Radiation
• Falsifying Models of New Physics Via WW Scattering
• Effective Theory of Large-Scale Structure with Primordial Non-Gaussianity
• Large-Scale Structure and Gravitational Waves III: Tidal Effects
• Recursive Solutions of Lagrangian Perturbation Theory
• On Squeezed Limits in Single-Field Inflation - Part I
• Higher-order-in-spin interaction Hamiltonians for binary black holes from Poincaré invariance
• Towards the 4th post-Newtonian Hamiltonian for two-point-mass systems
• Dark Sky Simulations: Early Data Release
• The Information Paradox for Black Holes
• Next-to-next-to-leading order gravitational spin-orbit coupling via the effective field theory for spinning objects in the post-Newtonian scheme
• Tail-induced spin-orbit effect in the gravitational radiation of compact binaries
• Non-Gaussian Covariance of the Matter Power Spectrum in the Effective Field Theory of Large Scale Structure
• Lagrangian perturbation theory at one loop order: successes, failures, and improvements
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• On the reach of perturbative descriptions for dark matter displacement fields
• Non-Linear Approximations to Gravitational Instability: A Comparison in the Quasi-Linear Regime
• Dissipation in the effective field theory for hydrodynamics: First order effects
• Decoupling and non-decoupling dynamics of large D black holes
• Redshift Space Distortions in the Effective Field Theory of Large Scale Structures
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• Equations of Motion for Spinning Particles in External\\Electromagnetic and Gravitational Fields
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• Next-to-next-to-leading order post-Newtonian linear-in-spin binary Hamiltonians
• Single-Field Consistency Relations of Large Scale Structure. Part II: Resummation and Redshift Space
• The Mildly Non-Linear Regime of Structure Formation
• On the Statistics of Biased Tracers in the Effective Field Theory of Large Scale Structures
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• Reduced Hamiltonian for next-to-leading order Spin-Squared Dynamics of General Compact Binaries
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• (Re-)Inventing the Relativistic Wheel: Gravity, Cosets, and Spinning Objects
• Self-force on extreme mass ratio inspirals via curved spacetime effective field theory
• Resummed propagators in multi-component cosmic fluids with the eikonal approximation
• Probing the Internal Composition of Neutron Stars with Gravitational Waves
• Behaviour of Lagrangian Approximations in Spherical Voids
• Five lectures on effective field theory
• Double-Copy Constructions and Unitarity Cuts
• Low Energy Theorems of Quantum Gravity from Effective Field Theory
• Gravity Waves from Extreme-Mass-Ratio Plunges into Kerr Black Holes
• Next-to-next-to-leading order post-Newtonian spin(1)-spin(2) Hamiltonian for self-gravitating binaries
• Accuracy and precision of gravitational-wave models of inspiraling neutron star -- black hole binaries with spin: comparison with numerical relativity in the low-frequency regime
• NR/HEP: roadmap for the future
• The NINJA-2 project: Detecting and characterizing gravitational waveforms modelled using numerical binary black hole simulations
• B-modes and the Nature of Inflation
• Gravity Waves from Kerr/CFT
• Aligned spin neutron star-black hole mergers: a gravitational waveform amplitude model
• The Cosmological Constant Problems (Talk given at Dark Matter 2000, February, 2000)
• Gauge and Gravity Amplitude Relations
• Black hole mass dynamics and renormalization group evolution
• Classical Limit of Black Hole Quantum N-Portrait and BMS Symmetry
• Lagrangian or Eulerian; Real or Fourier? Not All Approaches to Large-Scale Structure Are Created Equal
• Propagation of gravitational waves from slow motion sources in a Coulomb type potential
• Comparing Post-Newtonian and Numerical-Relativity Precession Dynamics
• Finite size corrections to the radiation reaction force in classical electrodynamics
• Radiation reaction at 3.5 post-Newtonian order in effective field theory
• Effective action and linear response of compact objects in Newtonian gravity
• Black Hole Macro-Quantumness
• Angular averaged consistency relations of large-scale structures
• The n-body problem in General Relativity up to the second post-Newtonian order from perturbative field theory
• Asymptotics of d-dimensional Kaluza-Klein black holes: beyond the Newtonian approximation
• The Running Coulomb Potential and Lamb Shift in QCD
• On the reach of perturbative methods for dark matter density fields
• High Energy Collisions of Black Holes Numerically Revisited
• Gravitational self-force in the ultra-relativistic limit: The 'large-N' expansion
• Fast plunges into Kerr black holes
• Experimental mathematics meets gravitational self-force
• Dynamical response to a stationary tidal field
• LSS constraints with controlled theoretical uncertainties
• All-sky search for long-duration gravitational wave transients with LIGO
• Gravitational radiation in d>4 from effective field theory
• sCOLA: The N-body COLA Method Extended to the Spatial Domain
• Effective field theory of dissipative fluids
• Binary Systems as Resonance Detectors for Gravitational Waves
• The principle of stationary nonconservative action for classical mechanics and field theories
• Estimating CDM Particle Trajectories in the Mildly Non-Linear Regime of Structure Formation. Implications for the Density Field in Real and Redshift Space
• Equal-time Consistency Relations in the Large-Scale Structure of the Universe
• High-order half-integral conservative post-Newtonian coefficients in the redshift factor of black hole binaries
• Effective field theory approach to fluctuation-induced forces between colloids at an interface
• New perspectives on neutron star and black hole spectroscopy and dynamic tides
• Elimination of the spin supplementary condition in the effective field theory approach to the post-Newtonian approximation
• Comments on Backreaction
• Local Conformal Symmetry: the Missing Symmetry Component for Space and Time
• On the comparison of results regarding the post-Newtonian approximate treatment of the dynamics of extended spinning compact binaries
• Subleading Spin-Orbit Correction to the Newtonian Potential in Effective Field Theory Formalism
• An effective field theory approach to tidal dynamics of spinning astrophysical systems
• The consistency condition for the three-point function in dissipative single-clock inflation
• Measuring the Spins of Stellar Black Holes: A Progress Report
• Weak decays of Heavy mesons
• New results at 3PN via an effective field theory of gravity
• A nonlinear scalar model of extreme mass ratio inspirals in effective field theory I. Self force through third order
• An action for reaction in general dimension
• A nonlinear scalar model of extreme mass ratio inspirals in effective field theory II. Scalar perturbations and a master source
• Extracting the three- and four-graviton vertices from binary pulsars and coalescing binaries
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Effect of smoothing of density field on reconstruction and anisotropic BAO analysis
• On Soft Limits of Large-Scale Structure Correlation Functions
• Caged black hole thermodynamics: Charge, the extremal limit, and finite size effects
• Extended bodies in a Kerr spacetime: exploring the role of a general quadrupole tensor
• Analytic approximations, perturbation theory, effective field theory methods and their applications
• Gravitational radiation-reaction in arbitrary dimension
• The incompressible fluid revisited: vortex-sound interactions
• General Relativity and Gravitation: A Centennial Perspective
• Comment on `On the next-to-leading order gravitational spin(1)-spin(2) dynamics' by J. Steinhoff et al
• Reply to "Comment on 'Finite size corrections to the radiation reaction force in classical electrodynamics'"
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• Tidal invariants along the world line of an extended body in the Kerr spacetime
• Template-space metric for searches for gravitational waves from the inspiral, merger and ringdown of binary black holes
• Effect of an arbitrary spin orientation on the quadrupolar structure of an extended body in a Schwarzschild spacetime
• Relaxing the cosmological constant in the extreme ultra-infrared
• Tail of Gravitational Radiation and Coulomb Final-State Interaction
• The Casimir Torque on a Cylindrical Gear
• Post-newtonian analysis of precessing convention for spinning compact binaries
• Baryon Acoustic Peak and the Squeezed Limit Bispectrum
• Lagrangian Formulation of the Eulerian-EFT
• High-order comparisons between post-Newtonian and perturbative self forces
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• The Double Copy of Massive Scalar-QCD
• Effective field theory for gravitational radiation in scalar-tensor gravity
• Spinning waveforms from KMOC at leading order
• Gravitational Spin-Orbit Hamiltonian at NNNLO in the post-Newtonian framework
• Love numbers and magnetic susceptibility of charged black holes
• Scalar Love numbers and Love symmetries of 5-dimensional Myers-Perry black holes
• Spin-orbit precession for eccentric black hole binaries at first order in the mass ratio
• Second post-Newtonian order radiative dynamics of inspiralling compact binaries in the Effective Field Theory approach
• Ladder Symmetries of Black Holes and de Sitter Space: Love Numbers and Quasinormal Modes
• Gravitomagnetic tidal effects in gravitational waves from neutron star binaries
• Scattering of gravitational waves off spinning compact objects with an effective worldline theory
• Chiral approach to massive higher spins
• Gravitational wave memory beyond general relativity
• Response Approach to the Matter Power Spectrum Covariance
• Worldline effective field theory of inspiralling black hole binaries in presence of dark photon and axionic dark matter
• First Law of Compact Binary Mechanics with Gravitational-Wave Tails
• Gravitational Quadratic-in-Spin Hamiltonian at NNNLO in the post-Newtonian framework
• Probing internal dissipative processes of neutron stars with gravitational waves during the inspiral of neutron star binaries
• Gravitational-wave tails of memory
• Relativistic effective action of dynamical gravitomagnetic tides for slowly rotating neutron stars
• Graviton particle statistics and coherent states from classical scattering amplitudes
• Angular Momentum Loss Due to Tidal Effects in the Post-Minkowskian Expansion
• The Quadrupole Moment of Compact Binaries to the Fourth post-Newtonian Order: II. Dimensional Regularization and Renormalization
• Ladder Symmetries and Love Numbers of Reissner--Nordström Black Holes
• Exploring strong-field deviations from general relativity via gravitational waves
• Post-Minkowskian Theory Meets the Spinning Effective-One-Body Approach for Two-Body Scattering
• Renormalizing Love: tidal effects at the third post-Newtonian order
• The Lamb shift and the gravitational binding energy for binary black holes
• Soft Radiation from Scattering Amplitudes Revisited
• Exploring waveforms with non-GR deviations for extreme mass-ratio inspirals
• Investigating tidal heating in neutron stars via gravitational Raman scattering
• Tidal effects up to next-to-next-to leading post-Newtonian order in massless scalar-tensor theories
• Scalar-Graviton Amplitudes
• Prospects of detecting deviations to Kerr geometry with radiation reaction effects in EMRIs
• Black hole hairs in scalar-tensor gravity and the lack thereof
• Gravitational waves from spinning binary black holes at the leading post-Newtonian orders at all orders in spin
• The Quadrupole Moment of Compact Binaries to the Fourth post-Newtonian Order: Relating the Harmonic and Radiative Metrics
• Post-Newtonian Waveforms from Spinning Scattering Amplitudes
• Gravitational Bound Waveforms from Amplitudes
• EFTofLSS meets simulation-based inference: ${\sigma }_8$ from biased tracers
• Spin-orbit effects for compact binaries in scalar-tensor gravity
• A Rutherford-like formula for scattering off Kerr-Newman BHs and subleading corrections
• Near and far zone in two-body dynamics: an effective field theory perspective
• A question of separation: disentangling tracer bias and gravitational nonlinearity with counts-in-cells statistics
• The Quadrupole Moment of Compact Binaries to the Fourth post-Newtonian Order: I. Non-Locality in Time and Infra-Red Divergencies
• Quantum Hotspots: Mean Fields, Open EFTs, Nonlocality and Decoherence Near Black Holes
• Searching for General Binary Inspirals with Gravitational Waves
• Superradiant scattering by a black hole binary
• Scattering of Gravitons and Spinning Massive States from Compact Numerators
• Observables from classical black hole scattering in Scalar-Tensor theory of gravity from worldline quantum field theory
• Perturbations of the Vaidya metric in the frequency domain: Quasi-normal modes and tidal response
• Effective two-body approach to the hierarchical three-body problem
• Vanishing of Quadratic Love Numbers of Schwarzschild Black Holes
• Evolution of diffuse scalar clouds around binary black holes
• Classifying post-Minkowskian geometries for gravitational waves via loop-by-loop Baikov
• Running Love Numbers and the Effective Field Theory of Gravity
• Gravitoelectric dynamical tides at second post-Newtonian order
• Disformally Coupled Scalar Fields and Inspiralling Trajectories
• Large Gauge Effects and the Structure of Amplitudes
• Post-Newtonian templates for gravitational waves from compact binary inspirals
• Effective two-body approach to the hierarchical three-body problem: quadrupole to 1PN
• Electromagnetic fields in compact binaries: a post-Newtonian approach
• Radiative Classical Gravitational Observables at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• Third order post-Newtonian gravitational radiation from two-body scattering: Instantaneous energy and angular momentum radiation
• An Introduction to Effective Field Theories
• The H-graph with equal masses in terms of multiple polylogarithms
• Particle motion under the conservative piece of the self-force is Hamiltonian
• Multipole expansion at the level of the action in $d$-dimensions
• Next-to-leading order spin-orbit effects in the equations of motion, energy loss and phase evolution of binaries of compact bodies in the effective field theory approach
• Conservative (failed)-tail effects at the fifth post-Newtonian order
• NonMarkovian Abraham--Lorentz--Dirac Equation: Radiation Reaction without Pathology
• Electromagnetic fields in compact binaries: post-Newtonian wave generation and application to double white dwarfs systems
• Scalar resonance in graviton-graviton scattering at high-energies: the graviball
• Synchrotron radiation in odd dimensions
• Binary systems in massive scalar-tensor theories: Next-to-leading order gravitational wave phase from effective field theory
• On actions for (entangling) surfaces and DCFTs
• Gravitational radiation from inspiralling compact binaries to N${}^3$LO in the Effective Field Theory approach
• Towards a unitary, renormalizable and ultraviolet-complete quantum theory of gravity
• The halo squeezed-limit bispectrum with primordial non-Gaussianity: a power spectrum response approach
• Radiating Love: adiabatic tidal fluxes and modes up to next-to-next-to-leading post-Newtonian order
• The spinning self-force EFT: 1SF waveform recursion relation and Compton scattering
• On canonical differential equations for Calabi-Yau multi-scale Feynman integrals
• Spontaneous Radiation of Black Holes
• A 3+1 formulation of the 1/c expansion of General Relativity
• Exact Gravitational Wave Signatures from Colliding Extreme Black Holes
• EFT approach to general relativity: correction to EIH Lagrangian due to electromagnetic charge
• Novel Screening with Two Bodies: Summing the ladder in disformal scalar-tensor theories
• Motion of a spinning particle under the conservative piece of the self-force is Hamiltonian to first order in mass and spin
• Spin precession as a new window into disformal scalar fields
• Gravitational spin-orbit dynamics at the fifth-and-a-half post-Newtonian order
• Generic EFT-motivated beyond General Relativity gravitational wave tests and their curvature dependence: from observation to interpretation
• Non-vanishing of tidal Love numbers
• Waveforms from Amplitudes
• Symplectic mechanics of relativistic spinning compact bodies II.: Canonical formalism in the Schwarzschild spacetime
• Higher-order tails and RG flows due to scattering of gravitational radiation from binary inspirals
• Half-solution to the two-body problem in General Relativity
• Post-Newtonian Dynamics of Spinning Black Hole Binaries in Einstein-Scalar-Gauss-Bonnet Gravity
• Gyroscopic Gravitational Memory from quasi-circular binary systems
• Probing de Sitter from the horizon
• Binary dynamics to second post-Newtonian order in scalar-tensor and Einstein-scalar-Gauss-Bonnet gravity from effective field theory
• Spinning waveforms of scalar radiation in quadratic modified gravity
• i-SPin 2: An integrator for general spin-s Gross-Pitaevskii systems
• Testing gravitational waveform models using angular momentum
• Machine Learning Post-Minkowskian Integrals
• Gravitational radiation from a binary system in odd-dimensional spacetime
• Leakage of gravitational waves into an extra dimension in the DGP model
• Modeling matter(s) in SEOBNRv5THM: Generating fast and accurate effective-one-body waveforms for spin-aligned binary neutron stars
• Dynamical Tidal Response of Non-rotating Black Holes: Connecting the MST Formalism and Worldline EFT
• Probing Particle Physics with Gravitational Waves
• Multipolar Particles in Helically Symmetric Spacetimes
• Conservative Dynamics of Relativistic Binaries Beyond Einstein Gravity
• Parametrized Tidal Dissipation Numbers of Non-rotating Black Holes
• Gravitational-wave energy and other fluxes in ghost-free bigravity
• Tidal Love Numbers of Neutron Stars in Horndeski Theories
• An Effective Field Theory for Binary Cosmic Strings
• Observables and Unconstrained Spin Tensor Dynamics in General Relativity from Scattering Amplitudes
• Effects of Short-Distance Modifications to General Relativity in Spinning Binary Systems
• Introductory Lectures on Resurgence: CERN Summer School 2024
• $S$-matrix approach to general gravity and beyond
• Love beyond Einstein: Metric reconstruction and Love number in quadratic gravity using WEFT
• Analytical $poly\Lambda$CDM dynamics
• The need for a nonlocal expansion in general relativity
• On-shell approach to scalar hair in spinning binaries
• A supplementary radiation-reaction force between two binaries
• The Radial Action from Probe Amplitudes to All Orders
• Highest-weight truncation, graded EFT structure, and renormalization of black hole Love numbers
• Influence Through Mixing: Hotspots as Benchmarks for Basic Black-Hole Behaviour
• Secular evolution of orbital parameters for general bound orbits in Kerr spacetime
• Tidally induced multipole moments of a nonrotating black hole vanish to all post-Newtonian orders
• Gravitational Wave Signals from Finite Size Effects in Spinning Binary Inspirals Including Parity Violating Constituents
• Can Newtonian Gravity Produce Quantum Entanglement?
• Double soft graviton factors from the gravitational Wilson line
• Exploring gravitational impulse via quantum Boltzmann equation
• First post-Newtonian correction to gravitational waves produced by compact binaries: How to compute relativistic corrections to gravitational waves using Feynman diagrams
• Scattering Amplitudes for Binary Systems beyond GR
• Quantum point particle approximation of spinning black holes and compact stars
• Large scale structures: from inflation to today: a brief report
• Energetics and scattering of gravitational two-body systems at fourth post-Minkowskian order
• Geodesic deviation to all orders via a tangent bundle formalism
• Trails of clouds in binary black holes
• On the logarithmic Love number of black holes beyond general relativity
• Extremal Love: tidal/electromagnetic deformability, logarithmic running and the weak gravity conjecture
• Effective-one-body formalism for leading-order radiative effects in the post-linear framework
• Hamiltonian normal forms for the post-Newtonian binary problem
• Spin-induced motion in black hole spacetime
• Newman-Janis Algorithm from Taub-NUT Instantons
• Testing gravity with the two-body problem
• 1PN effective binary Lagrangian for the gravity-Kalb-Ramond sector in the conservative regime
• Calculating the static gravitational two-body potential to fifth post-Newtonian order with Feynman diagrams
• Worldline EFT treatment of quadratic and cubic gravity theories